Finite Group Databasebeta

← #34500975

Subgroups — #34500975

Order 20224.

2000 conjugacy classes of subgroups.

The subgroup lattice has 1666 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23771730C211yesmaximal, characteristic, complemented
2#23771696C211yesmaximal, characteristic, complemented
3#23771304C211yesmaximal, characteristic, complemented
4#23771020C211yesmaximal, characteristic, complemented
5#23770884C211yesmaximal, characteristic, complemented
6#23770737C211yesmaximal, characteristic, complemented
7#23770726C211yesmaximal, characteristic, complemented
8#23770677C211yesmaximal, characteristic, complemented
9#23770136C211yesmaximal, characteristic, complemented
10#23770048C211yesmaximal, characteristic, complemented
11#23770035C211yesmaximal, characteristic, complemented
12#23769795C211yesmaximal, characteristic, complemented
13#23769696C211yesmaximal, characteristic, complemented
14#23769672C211yesmaximal, characteristic, complemented
15#23769638C211yesmaximal, characteristic, complemented
16#23769614C211yesmaximal, characteristic, complemented
17#23769604C211yesmaximal, characteristic, complemented
18#23769531C211yesmaximal, characteristic, complemented
19#23769460C211yesmaximal, characteristic, complemented
20#23768935C211yesmaximal, characteristic, complemented
21#23768461C211yesmaximal, characteristic, complemented
22#23767407C211yesmaximal, characteristic, complemented
23#23767287C211yesmaximal, characteristic, complemented
24#23767278C211yesmaximal, characteristic, complemented
25#23767168C211yesmaximal, characteristic, complemented
26#23766932C211yesmaximal, characteristic, complemented
27#23766866C211yesmaximal, characteristic, complemented
28#23766215C211yesmaximal, characteristic, complemented
29#23766061C211yesmaximal, characteristic, complemented
30#23765912C211yesmaximal, characteristic, complemented
31C79×#2670C211yesmaximal, characteristic, complemented
32C2×#14579157C2211yescharacteristic
33C2×#14579154C2211yescharacteristic
34C2×#14579145C2211yescharacteristic, complemented
35C2×#14579143C2211yescharacteristic
36C2×#14579143C2211yescharacteristic, complemented
37C2×#14579143C2211yescharacteristic, complemented
38C2×#14579142C2211yescharacteristic, complemented
39C2×#14579137C2211yescharacteristic, complemented
40C2×#14579134C2211yescharacteristic
41C2×#14579133C2211yescharacteristic
42C2×#14579133C2211yescharacteristic
43C2×#14579133C2211yescharacteristic, complemented
44C2×#14579132C2211yescharacteristic
45C2×#14579132C2211yescharacteristic
46C2×#14579132C2211yescharacteristic
47C2×#14579130C2211yescharacteristic
48C2×#14579130C2211yescharacteristic
49C2×D4×Dic79C2211yescharacteristic
50C2×#14579123C2211yescharacteristic, complemented
51C2×(C22⋊D79)⋊C4C2211yescharacteristic
52C2×(C22⋊D79)⋊C4C2211yescharacteristic
53C22×C22⋊Dic79C2211yescharacteristic
54C2×C42×D79C2211yescharacteristic, complemented
55C79⋊#401C2211yescharacteristic, complemented
56#19098504C2211yescharacteristic, complemented
57#19098502C2211yescharacteristic, complemented
58#19098499C2211yescharacteristic
59#19098499C2211yescharacteristic
60#19098499C2211yescharacteristic
61#19098497C2211yescharacteristic, complemented
62#19098496C2211yescharacteristic, complemented
63#19098495C2211yescharacteristic, complemented
64#19098495C2211yescharacteristic, complemented
65#19098492C2211yescharacteristic, complemented
66#19098491C2211yescharacteristic
67#19098491C2211yescharacteristic
68#19098488C2211yescharacteristic
69#19098488C2211yescharacteristic, complemented
70#19098486C2211yescharacteristic
71#19098486C2211yescharacteristic
72#19098486C2211yescharacteristic, complemented
73#19098479C2211yescharacteristic
74#19098479C2211yescharacteristic
75#19098479C2211yescharacteristic
76#19098479C2211yescharacteristic
77#19098479C2211yescharacteristic
78#19098479C2211yescharacteristic, complemented
79#19098479C2211yescharacteristic, complemented
80#19098478C2211yescharacteristic
81#19098478C2211yescharacteristic
82#19098478C2211yescharacteristic
83#19098478C2211yescharacteristic
84#19098478C2211yescharacteristic, complemented
85#19098477C2211yescharacteristic
86#19098477C2211yescharacteristic
87#19098477C2211yescharacteristic
88#19098474C2211yescharacteristic, complemented
89#19098472C2211yescharacteristic
90#19098472C2211yescharacteristic, complemented
91#19098471C2211yescharacteristic
92#19098471C2211yescharacteristic
93#19098471C2211yescharacteristic
94#19098471C2211yescharacteristic
95#19098471C2211yescharacteristic
96#19098471C2211yescharacteristic, complemented
97#19098470C2211yescharacteristic, complemented
98#19098470C2211yescharacteristic, complemented
99#19098466C2211yescharacteristic
100#19098466C2211yescharacteristic
101#19098466C2211yescharacteristic
102#19098466C2211yescharacteristic, complemented
103#19098465C2211yescharacteristic, complemented
104#19098463C2211yescharacteristic
105#19098463C2211yescharacteristic
106#19098462C2211yescharacteristic, complemented
107#19098461C2211yescharacteristic, complemented
108#19098460C2211yescharacteristic, complemented
109#19098459C2211yescharacteristic, complemented
110#19098458C2211yescharacteristic, complemented
111#19098457C2211yescharacteristic
112#19098457C2211yescharacteristic
113#19098457C2211yescharacteristic
114#19098457C2211yescharacteristic, complemented
115#19098456C2211yescharacteristic
116#19098456C2211yescharacteristic
117#19098456C2211yescharacteristic
118#19098456C2211yescharacteristic
119#19098456C2211yescharacteristic
120#19098456C2211yescharacteristic
121#19098456C2211yescharacteristic
122#19098456C2211yescharacteristic, complemented
123#19098456C2211yescharacteristic, complemented
124#19098456C2211yescharacteristic, complemented
125#19098455C2211yescharacteristic, complemented
126#19098455C2211yescharacteristic, complemented
127#19098454C2211yescharacteristic, complemented
128#19098453C2211yescharacteristic, complemented
129#19098451C2211yescharacteristic
130#19098451C2211yescharacteristic
131#19098451C2211yescharacteristic, complemented
132#19098451C2211yescharacteristic, complemented
133#19098451C2211yescharacteristic, complemented
134#19098448C2211yescharacteristic, complemented
135#19098447C2211yescharacteristic, complemented
136#19098446C2211yescharacteristic, complemented
137#19098443C2211yescharacteristic
138#19098443C2211yescharacteristic
139#19098443C2211yescharacteristic
140#19098443C2211yescharacteristic
141#19098443C2211yescharacteristic
142#19098443C2211yescharacteristic
143#19098441C2211yescharacteristic, complemented
144#19098440C2211yescharacteristic
145#19098440C2211yescharacteristic, complemented
146#19098439C2211yescharacteristic
147#19098439C2211yescharacteristic
148#19098439C2211yescharacteristic
149#19098439C2211yescharacteristic
150#19098439C2211yescharacteristic
151#19098439C2211yescharacteristic, complemented
152#19098439C2211yescharacteristic, complemented
153#19098439C2211yescharacteristic, complemented
154#19098438C2211yescharacteristic
155#19098438C2211yescharacteristic
156#19098438C2211yescharacteristic
157#19098438C2211yescharacteristic, complemented
158#19098437C2211yescharacteristic, complemented
159#19098435C2211yescharacteristic, complemented
160#19098435C2211yescharacteristic, complemented
161#19098431C2211yescharacteristic, complemented
162#19098429C2211yescharacteristic, complemented
163#19098422C2211yescharacteristic, complemented
164#19098421C2211yescharacteristic
165#19098420C2211yescharacteristic, complemented
166#19098419C2211yescharacteristic
167C4×C4⋊Dic79C2211yescharacteristic, complemented
168#19098414C2211yescharacteristic, complemented
169C22⋊C4×Dic79C2211yescharacteristic
170C22⋊C4×Dic79C2211yescharacteristic, complemented
171#19098410C2211yescharacteristic, complemented
172C2×#124×C79C2211yescharacteristic
173C2×#124×C79C2211yescharacteristic
174C2×#120×C79C2211yescharacteristic
175C2×#120×C79C2211yescharacteristic
176#394×C79C2211yescharacteristic
177#394×C79C2211yescharacteristic
178#393×C79C2211yescharacteristic
179#392×C79C2211yescharacteristic
180#392×C79C2211yescharacteristic
181#392×C79C2211yescharacteristic
182#390×C79C2211yescharacteristic
183#390×C79C2211yescharacteristic
184#388×C79C2211yescharacteristic
185#388×C79C2211yescharacteristic
186#379×C79C2211yescharacteristic
187C22×D316C2311yescharacteristic
188C22×C22⋊D79C2311yescharacteristic
189C22×C22⋊D79C2311yescharacteristic
190C22×C22⋊D79C2311yescharacteristic
191C22×C22⋊D79C2311yescharacteristic
192C22×C22⋊D79C2311yescharacteristic
193C22×C22⋊D79C2311yescharacteristic
194C22×C22⋊D79C2311yescharacteristic
195C22×C22⋊D79C2311yescharacteristic
196C22×C22⋊D79C2311yescharacteristic
197C22×C22⋊D79C2311yescharacteristic
198C23×Dic79C2311yescharacteristic
199C23×Dic79C2311yescharacteristic
200C23×Dic79C2311yescharacteristic
201C23×Dic79C2311yescharacteristic
202C22×C4×D79C2311yescharacteristic
203C22×C4×D79C2311yescharacteristic
204C22×C4×D79C2311yescharacteristic
205C22×C4×D79C2311yescharacteristic
206#14579157—42no—
207#14579154—42no—
208#14579145—42no—
209#14579143—42no—
210#14579143—42no—
211#14579143—42no—
212#14579142—42no—
213#14579137—42no—
214#14579134—24no—
215#14579133—42no—
216#14579133—42no—
217#14579133—42no—
218#14579132—42no—
219#14579132—42no—
220#14579132—42no—
221#14579130—42no—
222#14579130—42no—
223D4×Dic79—42no—
224#14579123—42no—
225(C22⋊D79)⋊C4—42no—
226(C22⋊D79)⋊C4—42no—
227C2×C4⋊Dic79C2311yescharacteristic
228C2×C4⋊Dic79C2311yescharacteristic
229C2×C4⋊Dic79C2311yescharacteristic
230C2×C4⋊Dic79C2311yescharacteristic
231C2×C4⋊Dic79C2311yescharacteristic
232C2×C4⋊Dic79C2311yescharacteristic
233C2×C4⋊Dic79C2311yescharacteristic
234C2×C4⋊Dic79C2311yescharacteristic
235C2×C4⋊Dic79C2311yescharacteristic
236C2×C4⋊Dic79C2311yescharacteristic
237C2×C4⋊Dic79C2311yescharacteristic
238C2×Dic79⋊C4C2311yescharacteristic
239C2×Dic79⋊C4C2311yescharacteristic
240C2×Dic79⋊C4C2311yescharacteristic
241C2×Dic79⋊C4C2311yescharacteristic
242C2×Dic79⋊C4C2311yescharacteristic
243C2×Dic79⋊C4C2311yescharacteristic
244C2×Dic79⋊C4C2311yescharacteristic
245C2×Dic79⋊C4C2311yescharacteristic
246C2×Dic79⋊C4C2311yescharacteristic
247C2×Dic79⋊C4C2311yescharacteristic
248C2×Dic79⋊C4C2311yescharacteristic
249C2×Dic79⋊C4C2311yescharacteristic
250C2×C22⋊Dic79—42no—
251C2×C22⋊Dic79C2311yescharacteristic
252C2×C22⋊Dic79C2311yescharacteristic
253C2×C22⋊Dic79C2311yescharacteristic
254C2×C22⋊Dic79C2311yescharacteristic
255C2×C22⋊Dic79C2311yescharacteristic
256C2×C22⋊Dic79C2311yescharacteristic
257C2×C22⋊Dic79C2311yescharacteristic
258C2×C22⋊Dic79C2311yescharacteristic
259C2×C22⋊Dic79C2311yescharacteristic
260C2×C22⋊Dic79C2311yescharacteristic
261C2×C22⋊Dic79C2311yescharacteristic
262C2×C22⋊Dic79C2311yescharacteristic
263C2×C22⋊Dic79C2311yescharacteristic
264C2×C22⋊Dic79C2311yescharacteristic
265C2×C22⋊Dic79C2311yescharacteristic
266C2×C22⋊Dic79C2311yescharacteristic
267C2×C22⋊Dic79C2311yescharacteristic
268C2×C22⋊Dic79C2311yescharacteristic
269C2×C22⋊Dic79C2311yescharacteristic
270C2×C22⋊Dic79C2311yescharacteristic
271C2×C22⋊Dic79C2311yescharacteristic
272C2×C22⋊Dic79C2311yescharacteristic
273C2×C22⋊Dic79C2311yescharacteristic
274C2×C22⋊Dic79C2311yescharacteristic
275C2×C22⋊Dic79C2311yescharacteristic
276C2×C22⋊Dic79C2311yescharacteristic
277C2×(C2×D79)⋊C4C2311yescharacteristic
278C2×(C2×D79)⋊C4C2311yescharacteristic
279C2×(C2×D79)⋊C4C2311yescharacteristic
280C2×(C2×D79)⋊C4C2311yescharacteristic
281C2×(C2×D79)⋊C4C2311yescharacteristic
282C2×(C2×D79)⋊C4C2311yescharacteristic
283C2×(C2×D79)⋊C4C2311yescharacteristic
284C2×(C2×D79)⋊C4C2311yescharacteristic
285C2×(C2×D79)⋊C4C2311yescharacteristic
286C2×(C2×D79)⋊C4C2311yescharacteristic
287C2×(C2×D79)⋊C4C2311yescharacteristic
288C2×(C2×D79)⋊C4C2311yescharacteristic
289C2×(C2×D79)⋊C4C2311yescharacteristic
290C2×(C2×D79)⋊C4C2311yescharacteristic
291C2×C4×Dic79C2311yescharacteristic
292C2×C4×Dic79C2311yescharacteristic
293C2×C4×Dic79C2311yescharacteristic
294C2×C4×Dic79C2311yescharacteristic
295C2×C4×Dic79C2311yescharacteristic
296C2×C4×Dic79C2311yescharacteristic
297C2×C4×Dic79C2311yescharacteristic
298C2×C4×Dic79C2311yescharacteristic
299C42×D79—42no—
300C79⋊#95C2311yescharacteristic
301C79⋊#95C2311yescharacteristic
302C79⋊#95C2311yescharacteristic
303C79⋊#95C2311yescharacteristic
304C79⋊#95C2311yescharacteristic
305C79⋊#95C2311yescharacteristic
306C79⋊#95C2311yescharacteristic
307C79⋊#95C2311yescharacteristic
308C79⋊#95C2311yescharacteristic
309C79⋊#95C2311yescharacteristic
310C79⋊#95C2311yescharacteristic
311C79⋊#95C2311yescharacteristic
312C79⋊#95C2311yescharacteristic
313C79⋊#95C2311yescharacteristic
314C79⋊#95C2311yescharacteristic
315C79⋊#95C2311yescharacteristic
316C79⋊#95C2311yescharacteristic
317C79⋊#95C2311yescharacteristic
318C79⋊#95C2311yescharacteristic
319C79⋊#95C2311yescharacteristic
320C79⋊#95C2311yescharacteristic
321C79⋊#95C2311yescharacteristic
322C79⋊#95C2311yescharacteristic
323C79⋊#95C2311yescharacteristic
324C79⋊#95C2311yescharacteristic
325C79⋊#95C2311yescharacteristic
326C79⋊#95C2311yescharacteristic
327C79⋊#95C2311yescharacteristic
328C79⋊#95C2311yescharacteristic
329C79⋊#95C2311yescharacteristic
330C25×C79C2311yescharacteristic
331C22×Q8×C79C2311yescharacteristic
332C22×D4×C79C2311yescharacteristic
333C22×D4×C79C2311yescharacteristic
334C22×D4×C79C2311yescharacteristic
335C22×D4×C79C2311yescharacteristic
336C22×D4×C79C2311yescharacteristic
337C22×D4×C79C2311yescharacteristic
338C22×D4×C79C2311yescharacteristic
339#124×C79—24no—
340#124×C79—42no—
341#120×C79—24no—
342#120×C79—42no—
343C2×C4⋊C4×C79C2311yescharacteristic
344C2×C4⋊C4×C79C2311yescharacteristic
345C2×C22⋊C4×C79C2311yescharacteristic
346C2×C22⋊C4×C79C2311yescharacteristic
347C2×C22⋊C4×C79C2311yescharacteristic
348C2×C22⋊C4×C79C2311yescharacteristic
349C2×C22⋊C4×C79C2311yescharacteristic
350C2×C22⋊C4×C79C2311yescharacteristic
351C2×C22⋊C4×C79C2311yescharacteristic
352C2×C22⋊C4×C79C2311yescharacteristic
353C2×C22⋊C4×C79C2311yescharacteristic
354C2×C22⋊C4×C79C2311yescharacteristic
355C2×C22⋊C4×C79C2311yescharacteristic
356C2×C22⋊C4×C79C2311yescharacteristic
357C2×C22⋊C4×C79C2311yescharacteristic
358C2×C22⋊C4×C79C2311yescharacteristic
359C2×C22⋊C4×C79C2311yescharacteristic
360C2×C22⋊C4×C79C2311yescharacteristic
361C2×C22⋊C4×C79C2311yescharacteristic
362C2×C22⋊C4×C79C2311yescharacteristic
363C2×C42×C79C2311yescharacteristic
364C2×C42×C79C2311yescharacteristic
365#95×C79C2311yescharacteristic
366#95×C79C2311yescharacteristic
367#95×C79C2311yescharacteristic
368#95×C79C2311yescharacteristic
369C23×D79C2411yescharacteristic
370C23×D79C2411yescharacteristic
371C2×D316—22no—
372C2×D316—22no—
373C2×D316—41no—
374C2×C22⋊D79—22no—
375C2×C22⋊D79—22no—
376C2×C22⋊D79—22no—
377C2×C22⋊D79—22no—
378C2×C22⋊D79—22no—
379C2×C22⋊D79—22no—
380C2×C22⋊D79—22no—
381C2×C22⋊D79—22no—
382C2×C22⋊D79—41no—
383C2×C22⋊D79—41no—
384C2×C22⋊D79—41no—
385C2×C22⋊D79—41no—
386C2×C22⋊D79—41no—
387C2×C22⋊D79—41no—
388C2×C22⋊D79—41no—
389C2×C22⋊D79—41no—
390C2×C22⋊D79—41no—
391C2×C22⋊D79—41no—
392C2×C22⋊D79—41no—
393C2×C22⋊D79—41no—
394C2×C22⋊D79—41no—
395C2×C22⋊D79—41no—
396C2×C22⋊D79—41no—
397C2×C22⋊D79—41no—
398C2×C22⋊D79—41no—
399C2×C22⋊D79—41no—
400C2×C22⋊D79—41no—
401C2×C22⋊D79—41no—
402C2×C22⋊D79—41no—
403C2×C22⋊D79—41no—
404C22×Dic79—22no—
405C22×Dic79—41no—
406C22×Dic79—41no—
407C22×Dic79—41no—
408C22×Dic79—41no—
409C22×Dic79—41no—
410C22×Dic79—41no—
411C22×Dic79—41no—
412C22×Dic79—41no—
413C22×Dic79—41no—
414C22×Dic79—41no—
415C22×Dic79—41no—
416C22×Dic79C2411yescharacteristic
417C22×Dic79C2411yescharacteristic
418C22×Dic79C2411yescharacteristic
419C22×Dic79C2411yescharacteristic
420C22×Dic79C2411yescharacteristic
421C22×Dic79C2411yescharacteristic
422C22×Dic79C2411yescharacteristic
423C22×Dic79C2411yescharacteristic
424C22×Dic79C2411yescharacteristic
425C22×Dic79C2411yescharacteristic
426C22×Dic79C2411yescharacteristic
427C22×Dic79C2411yescharacteristic
428C22×Dic79C2411yescharacteristic
429C22×Dic79C2411yescharacteristic
430C2×C4×D79—22no—
431C2×C4×D79—22no—
432C2×C4×D79—22no—
433C2×C4×D79—22no—
434C2×C4×D79—22no—
435C2×C4×D79—22no—
436C2×C4×D79—41no—
437C2×C4×D79—41no—
438C2×C4×D79—41no—
439C2×C4×D79—41no—
440C2×C4×D79—41no—
441C2×C4×D79—41no—
442C4⋊Dic79—22no—
443C4⋊Dic79—22no—
444C4⋊Dic79—22no—
445C4⋊Dic79—41no—
446C4⋊Dic79—41no—
447C4⋊Dic79—41no—
448C4⋊Dic79—41no—
449C4⋊Dic79—41no—
450C4⋊Dic79—41no—
451C4⋊Dic79—41no—
452C4⋊Dic79—41no—
453Dic79⋊C4—22no—
454Dic79⋊C4—22no—
455Dic79⋊C4—22no—
456Dic79⋊C4—22no—
457Dic79⋊C4—41no—
458Dic79⋊C4—41no—
459Dic79⋊C4—41no—
460Dic79⋊C4—41no—
461Dic79⋊C4—41no—
462Dic79⋊C4—41no—
463Dic79⋊C4—41no—
464Dic79⋊C4—41no—
465C22⋊Dic79—22no—
466C22⋊Dic79—22no—
467C22⋊Dic79—22no—
468C22⋊Dic79—22no—
469C22⋊Dic79—22no—
470C22⋊Dic79—22no—
471C22⋊Dic79—22no—
472C22⋊Dic79—22no—
473C22⋊Dic79—41no—
474C22⋊Dic79—41no—
475C22⋊Dic79—41no—
476C22⋊Dic79—41no—
477C22⋊Dic79—41no—
478C22⋊Dic79—41no—
479C22⋊Dic79—41no—
480C22⋊Dic79—41no—
481C22⋊Dic79—41no—
482C22⋊Dic79—41no—
483C22⋊Dic79—41no—
484C22⋊Dic79—41no—
485C22⋊Dic79—41no—
486C22⋊Dic79—41no—
487C22⋊Dic79—41no—
488C22⋊Dic79—41no—
489C22⋊Dic79—41no—
490C22⋊Dic79—41no—
491(C2×D79)⋊C4—22no—
492(C2×D79)⋊C4—22no—
493(C2×D79)⋊C4—22no—
494(C2×D79)⋊C4—22no—
495(C2×D79)⋊C4—41no—
496(C2×D79)⋊C4—41no—
497(C2×D79)⋊C4—41no—
498(C2×D79)⋊C4—41no—
499(C2×D79)⋊C4—41no—
500(C2×D79)⋊C4—41no—
501(C2×D79)⋊C4—41no—
502(C2×D79)⋊C4—41no—
503(C2×D79)⋊C4—41no—
504(C2×D79)⋊C4—41no—
505C4×Dic79—22no—
506C4×Dic79—41no—
507C4×Dic79—41no—
508C4×Dic79—41no—
509C4×Dic79—41no—
510C4×Dic79—41no—
511C4×Dic79—41no—
512C4×Dic79—41no—
513C24×C79—22no—
514C24×C79—41no—
515C24×C79—41no—
516C24×C79—41no—
517C24×C79—41no—
518C24×C79—41no—
519C24×C79—41no—
520C24×C79C2411yescharacteristic
521C24×C79C2411yescharacteristic
522C24×C79C2411yescharacteristic
523C24×C79C2411yescharacteristic
524C24×C79C2411yescharacteristic
525C2×Q8×C79—22no—
526C2×Q8×C79—41no—
527C2×Q8×C79—41no—
528C2×D4×C79—22no—
529C2×D4×C79—22no—
530C2×D4×C79—22no—
531C2×D4×C79—22no—
532C2×D4×C79—22no—
533C2×D4×C79—41no—
534C2×D4×C79—41no—
535C2×D4×C79—41no—
536C2×D4×C79—41no—
537C2×D4×C79—41no—
538C2×D4×C79—41no—
539C2×D4×C79—41no—
540C2×D4×C79—41no—
541C2×D4×C79—41no—
542C2×D4×C79—41no—
543C2×D4×C79—41no—
544C2×D4×C79—41no—
545C2×D4×C79—41no—
546C2×D4×C79—41no—
547C2×D4×C79—41no—
548C2×D4×C79—41no—
549C22×C4×C79C2411yescharacteristic
550C22×C4×C79C2411yescharacteristic
551C22×C4×C79C2411yescharacteristic
552C22×C4×C79C2411yescharacteristic
553C22×C4×C79C2411yescharacteristic
554C22×C4×C79C2411yescharacteristic
555C22×C4×C79C2411yescharacteristic
556C22×C4×C79C2411yescharacteristic
557C22×C4×C79C2411yescharacteristic
558C22×C4×C79C2411yescharacteristic
559C4⋊C4×C79—41no—
560C4⋊C4×C79—41no—
561C22⋊C4×C79—22no—
562C22⋊C4×C79—22no—
563C22⋊C4×C79—22no—
564C22⋊C4×C79—22no—
565C22⋊C4×C79—22no—
566C22⋊C4×C79—22no—
567C22⋊C4×C79—22no—
568C22⋊C4×C79—22no—
569C22⋊C4×C79—41no—
570C22⋊C4×C79—41no—
571C22⋊C4×C79—41no—
572C22⋊C4×C79—41no—
573C22⋊C4×C79—41no—
574C22⋊C4×C79—41no—
575C22⋊C4×C79—41no—
576C22⋊C4×C79—41no—
577C22⋊C4×C79—41no—
578C22⋊C4×C79#4114yes—
579C42×C79—22no—
580C42×C79—22no—
581C23×C79—21no—
582C23×C79—21no—
583C23×C79—21no—
584C23×C79—21no—
585C23×C79—21no—
586C23×C79—21no—
587C23×C79—21no—
588C23×C79—21no—
589C23×C79—21no—
590C23×C79—21no—
591C23×C79—21no—
592C23×C79—21no—
593C23×C79—21no—
594C23×C79—21no—
595C23×C79—21no—
596C23×C79—21no—
597C23×C79—21no—
598C23×C79—21no—
599C23×C79—21no—
600C23×C79—21no—
601C23×C79—21no—
602C23×C79—21no—
603C23×C79—21no—
604C23×C79—21no—
605C23×C79—21no—
606C23×C79—21no—
607C23×C79—21no—
608C23×C79—21no—
609C23×C79—21no—
610C23×C79—21no—
611C23×C79—21no—
612C23×C79—21no—
613C23×C79—21no—
614C23×C79—21no—
615C23×C79—44no—
616C23×C79—82no—
617C23×C79—82no—
618C23×C79—82no—
619C23×C79—82no—
620C23×C79—82no—
621C23×C79—82no—
622C23×C79C2×#4112yes—
623C23×C79C2511yescharacteristic
624C22×D79—21no—
625C22×D79—21no—
626C22×D79—21no—
627C22×D79—21no—
628C22×D79—21no—
629C22×D79—21no—
630C22×D79—21no—
631C22×D79—21no—
632C22×D79—21no—
633C22×D79—21no—
634C22×D79—21no—
635C22×D79—21no—
636C22×D79—21no—
637C22×D79H(5,𝔽2)12yes—
638Q8×C79—82no—
639D4×C79—44no—
640D4×C79—82no—
641D4×C79—82no—
642D4×C79—82no—
643D4×C79—82no—
644D4×C79—82no—
645D4×C79—82no—
646C2×C4×C79—21no—
647C2×C4×C79—21no—
648C2×C4×C79—21no—
649C2×C4×C79—21no—
650C2×C4×C79—21no—
651C2×C4×C79—21no—
652C2×C4×C79—21no—
653C2×C4×C79—21no—
654C2×C4×C79—21no—
655C2×C4×C79—21no—
656C2×C4×C79—21no—
657C2×C4×C79—21no—
658C2×C4×C79—21no—
659C2×C4×C79—21no—
660C2×C4×C79—21no—
661C2×C4×C79—21no—
662C2×C4×C79—21no—
663C2×C4×C79—21no—
664C2×C4×C79—21no—
665C2×C4×C79—21no—
666C2×C4×C79—21no—
667C2×C4×C79—21no—
668C2×C4×C79—21no—
669C2×C4×C79—21no—
670C2×C4×C79—21no—
671C2×C4×C79—21no—
672C2×C4×C79—21no—
673C2×C4×C79C2×#4112yes—
674C2×C4×C79C2×#4112yes—
675C2×C4×C79H(5,𝔽2)12yes—
676C22⋊D79—44no—
677C22⋊D79—44no—
678C22⋊D79—82no—
679C22⋊D79—82no—
680C22⋊D79—82no—
681C22⋊D79—82no—
682C22⋊D79—82no—
683C22⋊D79—82no—
684C22⋊D79—82no—
685C22⋊D79—82no—
686C2×Dic79—21no—
687C2×Dic79—21no—
688C2×Dic79—21no—
689C2×Dic79—21no—
690C2×Dic79—21no—
691C2×Dic79—21no—
692C2×Dic79—21no—
693C2×Dic79—21no—
694C2×Dic79—21no—
695C2×Dic79—21no—
696C2×Dic79—21no—
697C2×Dic79—21no—
698C2×Dic79—21no—
699C2×Dic79—21no—
700C2×Dic79—21no—
701C2×Dic79—21no—
702C2×Dic79—21no—
703C2×Dic79—21no—
704C2×Dic79—21no—
705C2×Dic79—21no—
706C2×Dic79—21no—
707C2×Dic79—21no—
708C2×Dic79—21no—
709C2×Dic79—21no—
710C2×Dic79—21no—
711C2×Dic79—21no—
712C2×Dic79—21no—
713C2×Dic79—21no—
714C2×Dic79—21no—
715C2×Dic79—21no—
716C2×Dic79—21no—
717C2×Dic79—21no—
718C2×Dic79—21no—
719C2×Dic79—21no—
720C2×Dic79—21no—
721C2×Dic79—21no—
722C2×Dic79—21no—
723C2×Dic79—21no—
724C2×Dic79—21no—
725C2×Dic79—21no—
726C2×Dic79—82no—
727C2×Dic79—82no—
728C2×Dic79—82no—
729C2×Dic79—82no—
730C2×Dic79H(5,𝔽2)12yes—
731C2×Dic79H(5,𝔽2)12yes—
732D316—44no—
733C4×D79—44no—
734C4×D79—44no—
735C4×D79—44no—
736C4×D79—82no—
737C22×C79—22no—
738C22×C79—22no—
739C22×C79—22no—
740C22×C79—41no—
741C22×C79—41no—
742C22×C79—41no—
743C22×C79—41no—
744C22×C79—41no—
745C22×C79—41no—
746C22×C79—41no—
747C22×C79—41no—
748C22×C79—41no—
749C22×C79—41no—
750C22×C79—41no—
751C22×C79—41no—
752C22×C79—41no—
753C22×C79—41no—
754C22×C79—41no—
755C22×C79—41no—
756C22×C79—41no—
757C22×C79—41no—
758C22×C79—41no—
759C22×C79—41no—
760C22×C79—41no—
761C22×C79—41no—
762C22×C79—41no—
763C22×C79—41no—
764C22×C79—41no—
765C22×C79—41no—
766C22×C79—41no—
767C22×C79—41no—
768C22×C79—41no—
769C22×C79—41no—
770C22×C79—41no—
771C22×C79—41no—
772C22×C79—88no—
773C22×C79C22×#4111yescharacteristic
774C22×C79C2×H(5,𝔽2)11yescharacteristic
775C22×C79C2×H(5,𝔽2)11yescharacteristic
776C22×C79C2×H(5,𝔽2)11yescharacteristic
777C22×C79C2×H(5,𝔽2)11yescharacteristic
778C22×C79#58511yescharacteristic
779C22×C79#58511yescharacteristic
780C2×D79—22no—
781C2×D79—22no—
782C2×D79—22no—
783C2×D79—41no—
784C2×D79—41no—
785C2×D79—41no—
786C2×D79—41no—
787C2×D79—41no—
788C2×D79—41no—
789C2×D79—41no—
790C2×D79—41no—
791C2×D79—41no—
792C2×D79—41no—
793C2×D79—41no—
794C4×C79—22no—
795C4×C79—22no—
796C4×C79—22no—
797C4×C79—41no—
798C4×C79—41no—
799C4×C79—41no—
800C4×C79—41no—
801C4×C79—41no—
802C4×C79—41no—
803C4×C79—41no—
804Dic79—22no—
805Dic79—22no—
806Dic79—41no—
807Dic79—41no—
808Dic79—41no—
809Dic79—41no—
810Dic79—41no—
811Dic79—41no—
812Dic79—41no—
813Dic79—41no—
814Dic79—41no—
815Dic79—41no—
816Dic79—41no—
817Dic79—41no—
818#36926—791nomaximal, Sylow
819C2×C79—42no—
820C2×C79—81no—
821C2×C79—81no—
822C2×C79—81no—
823C2×C79—81no—
824C2×C79#346011yescharacteristic
825C2×C79#351311yescharacteristic
826C2×C79#351911yescharacteristic
827C2×C79#353311yescharacteristic
828C2×C79#353711yescharacteristic
829C2×C79#354611yescharacteristic
830C2×C79#355811yescharacteristic
831D79—42no—
832D79—81no—
833#2854—791no—
834#2850—791no—
835#2801—791no—
836#2778—791no—
837#2768—791no—
838#2757—791no—
839#2756—791no—
840#2753—791no—
841#2710—791no—
842#2703—791no—
843#2702—791no—
844#2685—791no—
845#2676—791no—
846#2673—791no—
847#2671—791no—
848#2670D7911yescharacteristic, complemented
849#2669—791no—
850#2668—791no—
851#2661—791no—
852#2653—791no—
853#2596—791no—
854#2554—791no—
855#2464—791no—
856#2456—791no—
857#2455—791no—
858#2445—791no—
859#2424—791no—
860#2418—791no—
861#2337—791no—
862#2321—791no—
863C4×#121—791no—
864C79#3692611yescharacteristic, complemented, Sylow
865C2×#127—791no—
866C2×#126—791no—
867C2×#124C2×D7911yescharacteristic
868C2×#124C2×D7911yescharacteristic
869C2×#123—791no—
870C2×#123—791no—
871C2×#123—791no—
872C2×#123—791no—
873C2×#123—791no—
874C2×C22⋊Q8—791no—
875C2×#121—791no—
876C2×#121—791no—
877C2×#121—791no—
878C2×#121—791no—
879C2×#121—791no—
880C2×#121—791no—
881C2×#121—791no—
882C2×#120—791no—
883C2×#120—791no—
884C2×#120C2×D7911yescharacteristic
885C2×#120C2×D7911yescharacteristic
886C2×C4×D4—791no—
887C2×C4×D4—791no—
888C2×C4×D4—791no—
889C2×C4×D4—791no—
890C22×C22⋊C4—791no—
891C22×C42—791no—
892#401—791no—
893#400—791no—
894#400—791no—
895#399—791no—
896#399—791no—
897#399—791no—
898#398—791no—
899#398—791no—
900#398—791no—
901#398—791no—
902#397—791no—
903#397—791no—
904#397—791no—
905#397—791no—
906#397—791no—
907#396—791no—
908#396—791no—
909#396—791no—
910#394—791no—
911#394—791no—
912#394—791no—
913#394—791no—
914#394—791no—
915#394—791no—
916#394—791no—
917#394—791no—
918#394—791no—
919#394—791no—
920#394—791no—
921#394—791no—
922#394—791no—
923#394—791no—
924#394—791no—
925#394C2×D7911yescharacteristic
926#394C2×D7911yescharacteristic
927#393—791no—
928#393C2×D7911yescharacteristic
929#392—791no—
930#392—791no—
931#392—791no—
932#392—791no—
933#392—791no—
934#392—791no—
935#392—791no—
936#392—791no—
937#392C2×D7911yescharacteristic
938#392C2×D7911yescharacteristic
939#392C2×D7911yescharacteristic
940#391—791no—
941#391—791no—
942#390—791no—
943#390—791no—
944#390—791no—
945#390—791no—
946#390—791no—
947#390—791no—
948#390—791no—
949#390C2×D7911yescharacteristic
950#390C2×D7911yescharacteristic
951#389—791no—
952#389—791no—
953#389—791no—
954#389—791no—
955#389—791no—
956#388—791no—
957#388—791no—
958#388—791no—
959#388—791no—
960#388—791no—
961#388—791no—
962#388—791no—
963#388—791no—
964#388—791no—
965#388—791no—
966#388—791no—
967#388—791no—
968#388—791no—
969#388—791no—
970#388—791no—
971#388—791no—
972#388—791no—
973#388—791no—
974#388—791no—
975#388—791no—
976#388—791no—
977#388—791no—
978#388—791no—
979#388C2×D7911yescharacteristic
980#388C2×D7911yescharacteristic
981#387—791no—
982#387—791no—
983#387—791no—
984#386—791no—
985#386—791no—
986#386—791no—
987#386—791no—
988#386—791no—
989#386—791no—
990#386—791no—
991#386—791no—
992#386—791no—
993#386—791no—
994#386—791no—
995#386—791no—
996#386—791no—
997#386—791no—
998#386—791no—
999#386—791no—
1000#386—791no—
1001#385—791no—
1002#385—791no—
1003#385—791no—
1004#385—791no—
1005#385—791no—
1006#385—791no—
1007#385—791no—
1008#383—791no—
1009#382—791no—
1010#380—791no—
1011#380—791no—
1012#380—791no—
1013#379—791no—
1014#379C2×D7911yescharacteristic
1015C4×C4⋊C4—791no—
1016C4×C4⋊C4—791no—
1017C4×C22⋊C4—791no—
1018C4×C22⋊C4—791no—
1019C4×C22⋊C4—791no—
1020C25C22×D7911yescharacteristic
1021C22×Q8C22×D7911yescharacteristic
1022C22×D4—791no—
1023C22×D4—791no—
1024C22×D4—791no—
1025C22×D4—791no—
1026C22×D4—791no—
1027C22×D4—791no—
1028C22×D4—791no—
1029C22×D4—791no—
1030C22×D4—791no—
1031C22×D4—791no—
1032C22×D4—791no—
1033C22×D4C22×D7911yescharacteristic
1034C22×D4C22×D7911yescharacteristic
1035C22×D4C22×D7911yescharacteristic
1036C22×D4C22×D7911yescharacteristic
1037C22×D4C22×D7911yescharacteristic
1038C22×D4C22×D7911yescharacteristic
1039C22×D4C22×D7911yescharacteristic
1040C23×C4—791no—
1041C23×C4—791no—
1042C23×C4—791no—
1043C23×C4—791no—
1044C23×C4—791no—
1045C23×C4—791no—
1046C23×C4—791no—
1047C23×C4—791no—
1048#127—3162no—
1049#126—3162no—
1050#124—24no—
1051#124—42no—
1052#123—3162no—
1053#123—3162no—
1054#123—3162no—
1055#123—3162no—
1056#123—3162no—
1057C22⋊Q8—3162no—
1058#121—3162no—
1059#121—3162no—
1060#121—3162no—
1061#121—3162no—
1062#121—3162no—
1063#121—3162no—
1064#121—1584no—
1065#120—24no—
1066#120—42no—
1067#120—3162no—
1068#120—3162no—
1069C4×D4—3162no—
1070C4×D4—3162no—
1071C4×D4—3162no—
1072C4×D4—3162no—
1073C2×C4⋊C4—791no—
1074C2×C4⋊C4—791no—
1075C2×C4⋊C4—791no—
1076C2×C4⋊C4—791no—
1077C2×C4⋊C4—791no—
1078C2×C4⋊C4—791no—
1079C2×C4⋊C4—791no—
1080C2×C4⋊C4—791no—
1081C2×C4⋊C4—791no—
1082C2×C4⋊C4—791no—
1083C2×C4⋊C4—791no—
1084C2×C4⋊C4—791no—
1085C2×C4⋊C4—791no—
1086C2×C4⋊C4—791no—
1087C2×C4⋊C4—791no—
1088C2×C4⋊C4—791no—
1089C2×C4⋊C4—791no—
1090C2×C4⋊C4—791no—
1091C2×C4⋊C4—791no—
1092C2×C4⋊C4—791no—
1093C2×C4⋊C4—791no—
1094C2×C4⋊C4—791no—
1095C2×C4⋊C4—791no—
1096C2×C4⋊C4C22×D7911yescharacteristic
1097C2×C4⋊C4C22×D7911yescharacteristic
1098C2×C22⋊C4—3162no—
1099C2×C22⋊C4—791no—
1100C2×C22⋊C4—791no—
1101C2×C22⋊C4—791no—
1102C2×C22⋊C4—791no—
1103C2×C22⋊C4—791no—
1104C2×C22⋊C4—791no—
1105C2×C22⋊C4—791no—
1106C2×C22⋊C4—791no—
1107C2×C22⋊C4—791no—
1108C2×C22⋊C4—791no—
1109C2×C22⋊C4—791no—
1110C2×C22⋊C4—791no—
1111C2×C22⋊C4—791no—
1112C2×C22⋊C4—791no—
1113C2×C22⋊C4—791no—
1114C2×C22⋊C4—791no—
1115C2×C22⋊C4—791no—
1116C2×C22⋊C4—791no—
1117C2×C22⋊C4—791no—
1118C2×C22⋊C4—791no—
1119C2×C22⋊C4—791no—
1120C2×C22⋊C4—791no—
1121C2×C22⋊C4—791no—
1122C2×C22⋊C4—791no—
1123C2×C22⋊C4—791no—
1124C2×C22⋊C4—791no—
1125C2×C22⋊C4—791no—
1126C2×C22⋊C4—791no—
1127C2×C22⋊C4—791no—
1128C2×C22⋊C4—791no—
1129C2×C22⋊C4—791no—
1130C2×C22⋊C4—791no—
1131C2×C22⋊C4—791no—
1132C2×C22⋊C4—791no—
1133C2×C22⋊C4—791no—
1134C2×C22⋊C4—791no—
1135C2×C22⋊C4—791no—
1136C2×C22⋊C4—791no—
1137C2×C22⋊C4—791no—
1138C2×C22⋊C4—791no—
1139C2×C22⋊C4C22×D7911yescharacteristic
1140C2×C22⋊C4C22×D7911yescharacteristic
1141C2×C22⋊C4C22×D7911yescharacteristic
1142C2×C22⋊C4C22×D7911yescharacteristic
1143C2×C22⋊C4C22×D7911yescharacteristic
1144C2×C22⋊C4C22×D7911yescharacteristic
1145C2×C22⋊C4C22×D7911yescharacteristic
1146C2×C22⋊C4C22×D7911yescharacteristic
1147C2×C22⋊C4C22×D7911yescharacteristic
1148C2×C22⋊C4C22×D7911yescharacteristic
1149C2×C22⋊C4C22×D7911yescharacteristic
1150C2×C22⋊C4C22×D7911yescharacteristic
1151C2×C22⋊C4C22×D7911yescharacteristic
1152C2×C22⋊C4C22×D7911yescharacteristic
1153C2×C22⋊C4C22×D7911yescharacteristic
1154C2×C22⋊C4C22×D7911yescharacteristic
1155C2×C22⋊C4C22×D7911yescharacteristic
1156C2×C22⋊C4C22×D7911yescharacteristic
1157C2×C42—3162no—
1158C2×C42—791no—
1159C2×C42—791no—
1160C2×C42—791no—
1161C2×C42—791no—
1162C2×C42—791no—
1163C2×C42—791no—
1164C2×C42—791no—
1165C2×C42—791no—
1166C2×C42C22×D7911yescharacteristic
1167C2×C42C22×D7911yescharacteristic
1168#95—791no—
1169#95—791no—
1170#95—791no—
1171#95—791no—
1172#95—791no—
1173#95—791no—
1174#95—791no—
1175#95—791no—
1176#95—791no—
1177#95—791no—
1178#95—791no—
1179#95—791no—
1180#95—791no—
1181#95—791no—
1182#95—791no—
1183#95—791no—
1184#95—791no—
1185#95—791no—
1186#95—791no—
1187#95—791no—
1188#95—791no—
1189#95—791no—
1190#95—791no—
1191#95—791no—
1192#95—791no—
1193#95—791no—
1194#95—791no—
1195#95—791no—
1196#95—791no—
1197#95—791no—
1198#95C22×D7911yescharacteristic
1199#95C22×D7911yescharacteristic
1200#95C22×D7911yescharacteristic
1201#95C22×D7911yescharacteristic
1202C24—22no—
1203C24—41no—
1204C24—41no—
1205C24—41no—
1206C24—41no—
1207C24—41no—
1208C24—41no—
1209C24—791no—
1210C24—791no—
1211C24C23×D7911yescharacteristic
1212C24C23×D7911yescharacteristic
1213C24C23×D7911yescharacteristic
1214C24C23×D7911yescharacteristic
1215C24C23×D7911yescharacteristic
1216C2×Q8—22no—
1217C2×Q8—41no—
1218C2×Q8—41no—
1219C2×D4—22no—
1220C2×D4—22no—
1221C2×D4—22no—
1222C2×D4—22no—
1223C2×D4—22no—
1224C2×D4—41no—
1225C2×D4—41no—
1226C2×D4—41no—
1227C2×D4—41no—
1228C2×D4—41no—
1229C2×D4—41no—
1230C2×D4—41no—
1231C2×D4—41no—
1232C2×D4—41no—
1233C2×D4—41no—
1234C2×D4—41no—
1235C2×D4—41no—
1236C2×D4—41no—
1237C2×D4—41no—
1238C2×D4—41no—
1239C2×D4—41no—
1240C2×D4—3161no—
1241C2×D4—3161no—
1242C2×D4—3161no—
1243C2×D4—3161no—
1244C2×D4—3161no—
1245C2×D4—3161no—
1246C2×D4—3161no—
1247C2×D4—3161no—
1248C2×D4—3161no—
1249C2×D4—3161no—
1250C2×D4—3161no—
1251C2×D4—3161no—
1252C2×D4—3161no—
1253C2×D4—3161no—
1254C2×D4—3161no—
1255C2×D4—3161no—
1256C2×D4—3161no—
1257C2×D4—3161no—
1258C2×D4—3161no—
1259C2×D4—3161no—
1260C2×D4—3161no—
1261C2×D4—3161no—
1262C2×D4—3161no—
1263C2×D4—1582no—
1264C2×D4—1582no—
1265C2×D4—1582no—
1266C2×D4—1582no—
1267C2×D4—1582no—
1268C2×D4—1582no—
1269C2×D4—1582no—
1270C2×D4—1582no—
1271C2×D4—1582no—
1272C2×D4—1582no—
1273C22×C4—3161no—
1274C22×C4—3161no—
1275C22×C4—3161no—
1276C22×C4—3161no—
1277C22×C4—3161no—
1278C22×C4—3161no—
1279C22×C4—3161no—
1280C22×C4—3161no—
1281C22×C4—3161no—
1282C22×C4—3161no—
1283C22×C4—3161no—
1284C22×C4—3161no—
1285C22×C4—3161no—
1286C22×C4—3161no—
1287C22×C4—3161no—
1288C22×C4—3161no—
1289C22×C4—3161no—
1290C22×C4—791no—
1291C22×C4—791no—
1292C22×C4—791no—
1293C22×C4—791no—
1294C22×C4—791no—
1295C22×C4—791no—
1296C22×C4—791no—
1297C22×C4—791no—
1298C22×C4—791no—
1299C22×C4—791no—
1300C22×C4—791no—
1301C22×C4—791no—
1302C22×C4—791no—
1303C22×C4—791no—
1304C22×C4—1582no—
1305C22×C4—1582no—
1306C22×C4—1582no—
1307C22×C4—1582no—
1308C22×C4—1582no—
1309C22×C4—1582no—
1310C22×C4—1582no—
1311C22×C4C23×D7911yescharacteristic
1312C22×C4C23×D7911yescharacteristic
1313C22×C4C23×D7911yescharacteristic
1314C22×C4C23×D7911yescharacteristic
1315C22×C4C23×D7911yescharacteristic
1316C22×C4C23×D7911yescharacteristic
1317C22×C4C23×D7911yescharacteristic
1318C22×C4C23×D7911yescharacteristic
1319C22×C4C23×D7911yescharacteristic
1320C22×C4C23×D7911yescharacteristic
1321C4⋊C4—41no—
1322C4⋊C4—41no—
1323C4⋊C4—3161no—
1324C4⋊C4—3161no—
1325C4⋊C4—3161no—
1326C4⋊C4—3161no—
1327C4⋊C4—3161no—
1328C4⋊C4—3161no—
1329C4⋊C4—3161no—
1330C4⋊C4—3161no—
1331C4⋊C4—3161no—
1332C4⋊C4—3161no—
1333C4⋊C4—3161no—
1334C4⋊C4—3161no—
1335C4⋊C4—3161no—
1336C4⋊C4—3161no—
1337C4⋊C4—3161no—
1338C4⋊C4—3161no—
1339C4⋊C4—1582no—
1340C4⋊C4—1582no—
1341C4⋊C4—1582no—
1342C4⋊C4—1582no—
1343C4⋊C4—1582no—
1344C4⋊C4—1582no—
1345C4⋊C4—1582no—
1346C22⋊C4—22no—
1347C22⋊C4—22no—
1348C22⋊C4—22no—
1349C22⋊C4—22no—
1350C22⋊C4—22no—
1351C22⋊C4—22no—
1352C22⋊C4—22no—
1353C22⋊C4—22no—
1354C22⋊C4—41no—
1355C22⋊C4—41no—
1356C22⋊C4—41no—
1357C22⋊C4—41no—
1358C22⋊C4—41no—
1359C22⋊C4—41no—
1360C22⋊C4—41no—
1361C22⋊C4—41no—
1362C22⋊C4—41no—
1363C22⋊C4—3161no—
1364C22⋊C4—3161no—
1365C22⋊C4—3161no—
1366C22⋊C4—3161no—
1367C22⋊C4—3161no—
1368C22⋊C4—3161no—
1369C22⋊C4—3161no—
1370C22⋊C4—3161no—
1371C22⋊C4—3161no—
1372C22⋊C4—3161no—
1373C22⋊C4—3161no—
1374C22⋊C4—3161no—
1375C22⋊C4—3161no—
1376C22⋊C4—3161no—
1377C22⋊C4—3161no—
1378C22⋊C4—3161no—
1379C22⋊C4—3161no—
1380C22⋊C4—3161no—
1381C22⋊C4—3161no—
1382C22⋊C4—3161no—
1383C22⋊C4—3161no—
1384C22⋊C4—3161no—
1385C22⋊C4—3161no—
1386C22⋊C4—3161no—
1387C22⋊C4—3161no—
1388C22⋊C4—3161no—
1389C22⋊C4—3161no—
1390C22⋊C4—3161no—
1391C22⋊C4—1582no—
1392C22⋊C4—1582no—
1393C22⋊C4—1582no—
1394C22⋊C4—1582no—
1395C22⋊C4—1582no—
1396C22⋊C4—1582no—
1397C22⋊C4—1582no—
1398C22⋊C4—1582no—
1399C22⋊C4—1582no—
1400C22⋊C4—1582no—
1401C22⋊C4—1582no—
1402C22⋊C4—1582no—
1403C22⋊C4#1192962314yes—
1404C42—22no—
1405C42—22no—
1406C42—3161no—
1407C42—3161no—
1408C42—3161no—
1409C42—3161no—
1410C42—3161no—
1411C42—3161no—
1412C42—3161no—
1413C42—1582no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—44no—
1449C23—82no—
1450C23—82no—
1451C23—82no—
1452C23—82no—
1453C23—82no—
1454C23—82no—
1455C23—792no—
1456C23—1581no—
1457C23—1581no—
1458C23—1581no—
1459C23—1581no—
1460C23—1581no—
1461C23—1581no—
1462C23—1581no—
1463C23—1581no—
1464C23—1581no—
1465C23—1581no—
1466C23—1581no—
1467C23—1581no—
1468C23—1581no—
1469C23C2×#1192962312yes—
1470C23C24×D7911yescharacteristic
1471Q8—82no—
1472D4—44no—
1473D4—82no—
1474D4—82no—
1475D4—82no—
1476D4—82no—
1477D4—82no—
1478D4—82no—
1479D4—3164no—
1480D4—3164no—
1481D4—3164no—
1482D4—6322no—
1483D4—6322no—
1484D4—6322no—
1485D4—6322no—
1486D4—6322no—
1487D4—6322no—
1488D4—6322no—
1489D4—6322no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—3164no—
1518C2×C4—3164no—
1519C2×C4—3164no—
1520C2×C4—792no—
1521C2×C4—792no—
1522C2×C4—6322no—
1523C2×C4—6322no—
1524C2×C4—6322no—
1525C2×C4—6322no—
1526C2×C4—6322no—
1527C2×C4—1581no—
1528C2×C4—1581no—
1529C2×C4—1581no—
1530C2×C4—1581no—
1531C2×C4—1581no—
1532C2×C4—1581no—
1533C2×C4—1581no—
1534C2×C4—1581no—
1535C2×C4—1581no—
1536C2×C4—1581no—
1537C2×C4—1581no—
1538C2×C4—1581no—
1539C2×C4—1581no—
1540C2×C4—1581no—
1541C2×C4—1581no—
1542C2×C4—1581no—
1543C2×C4—1581no—
1544C2×C4—1581no—
1545C2×C4—1581no—
1546C2×C4—1581no—
1547C2×C4—1581no—
1548C2×C4—1581no—
1549C2×C4—1581no—
1550C2×C4—1581no—
1551C2×C4—1581no—
1552C2×C4—1581no—
1553C2×C4—1581no—
1554C2×C4—1581no—
1555C2×C4—1581no—
1556C2×C4—1581no—
1557C2×C4—1581no—
1558C2×C4—1581no—
1559C2×C4—1581no—
1560C2×C4—1581no—
1561C2×C4—1581no—
1562C2×C4—1581no—
1563C2×C4—1581no—
1564C2×C4—1581no—
1565C2×C4—1581no—
1566C2×C4—1581no—
1567C2×C4C2×#1192962312yes—
1568C2×C4C2×#1192962312yes—
1569C2×C4#1457920612yes—
1570C22—22no—
1571C22—22no—
1572C22—22no—
1573C22—41no—
1574C22—41no—
1575C22—41no—
1576C22—41no—
1577C22—41no—
1578C22—41no—
1579C22—41no—
1580C22—41no—
1581C22—41no—
1582C22—41no—
1583C22—41no—
1584C22—41no—
1585C22—41no—
1586C22—41no—
1587C22—41no—
1588C22—41no—
1589C22—41no—
1590C22—41no—
1591C22—41no—
1592C22—41no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—88no—
1606C22—3161no—
1607C22—3161no—
1608C22—3161no—
1609C22—3161no—
1610C22—3161no—
1611C22—3161no—
1612C22—3161no—
1613C22—3161no—
1614C22—3161no—
1615C22—3161no—
1616C22—3161no—
1617C22—1582no—
1618C22—1582no—
1619C22—1582no—
1620C22C22×#1192962311yescharacteristic
1621C22H(5,𝔽2)×D7911yescharacteristic
1622C22H(5,𝔽2)×D7911yescharacteristic
1623C22H(5,𝔽2)×D7911yescharacteristic
1624C22C2×#1457920611yescharacteristic
1625C22#1909939811yescharacteristic
1626C22#1909939911yescharacteristic
1627C4—22no—
1628C4—22no—
1629C4—22no—
1630C4—41no—
1631C4—41no—
1632C4—41no—
1633C4—41no—
1634C4—41no—
1635C4—41no—
1636C4—41no—
1637C4—3161no—
1638C4—3161no—
1639C4—3161no—
1640C4—3161no—
1641C4—3161no—
1642C4—3161no—
1643C4—3161no—
1644C4—3161no—
1645C4—3161no—
1646C4—3161no—
1647C4—3161no—
1648C4—3161no—
1649C4—1582no—
1650C4—1582no—
1651C2—42no—
1652C2—81no—
1653C2—81no—
1654C2—81no—
1655C2—81no—
1656C2—3162no—
1657C2—6321no—
1658C2#2377681311yescharacteristic
1659C2#2377732911yescharacteristic
1660C2#2377742311yescharacteristic
1661C2#2377755911yescharacteristic
1662C2#2377763311yescharacteristic
1663C2#2377776511yescharacteristic
1664C2#2377791311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D79
commutator, socle, cosocleC23×C79C25
FittingC79×#2670C2
hypercenter#2670D79
hypocenterC79#36926
LCSG ▷ C23×C79 ▷ C79
UCSC1 ◁ C23 ◁ #2670

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #23771730C2semidirect
2. #23771696C2semidirect
3. #23771304C2semidirect
4. #23771020C2semidirect
5. #23770884C2semidirect
6. #23770737C2semidirect
7. #23770726C2semidirect
8. #23770677C2semidirect
9. #23770136C2semidirect
10. #23770048C2semidirect
11. #23770035C2semidirect
12. #23769795C2semidirect
13. #23769696C2semidirect
14. #23769672C2semidirect
15. #23769638C2semidirect
16. #23769614C2semidirect
17. #23769604C2semidirect
18. #23769531C2semidirect
19. #23769460C2semidirect
20. #23768935C2semidirect
21. #23768461C2semidirect
22. #23767407C2semidirect
23. #23767287C2semidirect
24. #23767278C2semidirect
25. #23767168C2semidirect
26. #23766932C2semidirect
27. #23766866C2semidirect
28. #23766215C2semidirect
29. #23766061C2semidirect
30. #23765912C2semidirect
31. C79×#2670C2semidirect
34. C2×#14579145C22semidirect
36. C2×#14579143C22semidirect
37. C2×#14579143C22semidirect
38. C2×#14579142C22semidirect
39. C2×#14579137C22semidirect
43. C2×#14579133C22semidirect
50. C2×#14579123C22semidirect
54. C2×C42×D79C22semidirect
55. C79⋊#401C22semidirect
56. #19098504C22semidirect
57. #19098502C22semidirect
61. #19098497C22semidirect
62. #19098496C22semidirect
63. #19098495C22semidirect
64. #19098495C22semidirect
65. #19098492C22semidirect
69. #19098488C22semidirect
72. #19098486C22semidirect
78. #19098479C22semidirect
79. #19098479C22semidirect
84. #19098478C22semidirect
88. #19098474C22semidirect
90. #19098472C22semidirect
96. #19098471C22semidirect
97. #19098470C22semidirect
98. #19098470C22semidirect
102. #19098466C22semidirect
103. #19098465C22semidirect
106. #19098462C22semidirect
107. #19098461C22semidirect
108. #19098460C22semidirect
109. #19098459C22semidirect
110. #19098458C22semidirect
114. #19098457C22semidirect
122. #19098456C22semidirect
123. #19098456C22semidirect
124. #19098456C22semidirect
125. #19098455C22semidirect
126. #19098455C22semidirect
127. #19098454C22semidirect
128. #19098453C22semidirect
131. #19098451C22semidirect
132. #19098451C22semidirect
133. #19098451C22semidirect
134. #19098448C22semidirect
135. #19098447C22semidirect
136. #19098446C22semidirect
143. #19098441C22semidirect
145. #19098440C22semidirect
151. #19098439C22semidirect
152. #19098439C22semidirect
153. #19098439C22semidirect
157. #19098438C22semidirect
158. #19098437C22semidirect
159. #19098435C22semidirect
160. #19098435C22semidirect
161. #19098431C22semidirect
162. #19098429C22semidirect
163. #19098422C22semidirect
165. #19098420C22semidirect
167. C4×C4⋊Dic79C22semidirect
168. #19098414C22semidirect
170. C22⋊C4×Dic79C22semidirect
171. #19098410C22semidirect
848. #2670D79semidirect
864. C79#36926semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
#237717302
#237716962
#237713042
#237710202
#237708842
#237707372
#237707262
#237706772
#237701362
#237700482
#237700352
#237697952
#237696962
#237696722
#237696382
#237696142
#237696042
#237695312
#237694602
#237689352
#237684612
#237674072
#237672872
#237672782
#237671682
#237669322
#237668662
#237662152
#237660612
#237659122
C79×#26702
#3692679